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Published online by Cambridge University Press: 28 March 2025
We show theoretically and empirically that the cross-section of stock return idiosyncratic volatilities contains useful information about the ICAPM. We construct a proxy cross-sectional bivariate idiosyncratic volatility (CBIV) for the covariance risk between the market and the unobserved hedge portfolio under the ICAPM. Consistent with the ICAPM pricing relation, CBIV is a robust and significant predictor of the equity risk premium. We further show that the return predictability of the tail index in Kelly and Jiang (2014) can be explained by the ICAPM covariance risk.
We appreciate valuable comments from Hendrik Bessembinder (the editor), Turan Bali, Jay Cao, Kalok Chan, Darwin Choi, Alexandre Corhay, Michael Gallmeyer (the referee), Dashan Huang, Yoontae Jeon, Wenxi Jiang, Raymond Kan, Charles Martineau, Tom McCurdy, Chayawat Ornthanalai, Dave Rapach, Mike Simutin, Jincheng Tong, William Waller, Yizhou Xiao, Nancy Xu, Yanhui Zhao, as well as seminar participants at Beijing Institute of Technology, Cheung Kong Graduate School of Business, Chinese University of Hong Kong (CUHK), CUHK Shenzhen, Dongbei University of Finance and Economics, London School of Economics and Political Science, Shanghai University of Finance and Economics, Southwestern University of Finance and Economics, Tianjin University, University of International Business and Economics, University of South Carolina, University of Sussex, University of Toronto, 2020 APAD, 2020 NFA, 2020 FMA, 2021 Frontiers of Factor Investing, 2021 ITAM, 2021 AsiaFA (2021), and 2021 CIRF for very helpful comments. An earlier version of this article is titled “Idiosyncratic Volatility and the Intertemporal Capital Asset Pricing Model.”